Question

sin a =3/5 find cot a​

Answer 1

Answer:

$\frac{4}{3}$

Step-by-step explanation:

$\sin(a) = \frac{3}{5}$

As we know

${ \sin(a) }^{2} + { \cos(a) }^{2} = 1$

${ \frac{3}{5} }^{2} + { \cos(a) }^{2} = 1$

$\frac{9}{25} + { \cos(a) }^{2} = 1$

${ \cos(a) }^{2} = 1 - \frac{9}{25}$

${ \cos(a) }^{2} = \frac{25 - 9}{25}$

${ \cos(a) }^{2} = \frac{16}{25}$

$\cos(a) = \sqrt{ \frac{16}{25} }$

$\cos(a) = \frac{4}{5}$

We know,

$\frac{ \cos(a) }{ \sin(a) } = \cot(a)$

$\frac{4}{5} \div \frac{3}{5} = \cot(a)$

$\frac{4}{3} = \cot(a)$

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